Question

Разложить на множители $d^{3} -d^{2}k-dk^{2}+k^{3}$

Answer 1

d³-d²k-dk²+k³ =(d³+k³)-(d²k+dk²) = 
=(d+k)(d²-dk+k²)-dk(d+k)=
=(d+k)(d²-dk+k²-dk)=
=(d+k)(d²-2dk+k²)=
=(d+k)(d-k)²